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From point outside the circle fetch two contiguous segments and let The mid-points Let the intersection of segment circle If find the angle
sopor
Re: circle
07.07.2013, 00:05
Is this picture right? http://plasmon.rghost.ru/47258459/image.png If yes, then the answer is . This is confirmed by Wolfram and the picture I uploaded. My solution is not "olympiad" at all, it is actually an algebraic bash. If someone had found elegant solution, that would have been interesting
ertyu
Re: circle
07.07.2013, 11:26
Последний раз редактировалось ertyu 07.07.2013, 11:27, всего редактировалось 1 раз.
I am very sorry I made a big mistake
sopor
Re: circle
07.07.2013, 14:08
In this case the answer is much better: . It is because and have normal radical form, so you can simplify the expression above.